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Simplifying (2x + -1y)(3x + y)(4x + -1y) = 0 Multiply (2x + -1y) * (3x + y) (2x * (3x + y) + -1y * (3x + y))(4x + -1y) = 0 ((3x * 2x + y * 2x) + -1y * (3x + y))(4x + -1y) = 0 Reorder the terms: ((2xy + 6x2) + -1y * (3x + y))(4x + -1y) = 0 ((2xy + 6x2) + -1y * (3x + y))(4x + -1y) = 0 (2xy + 6x2 + (3x * -1y + y * -1y))(4x + -1y) = 0 (2xy + 6x2 + (-3xy + -1y2))(4x + -1y) = 0 Reorder the terms: (2xy + -3xy + 6x2 + -1y2)(4x + -1y) = 0 Combine like terms: 2xy + -3xy = -1xy (-1xy + 6x2 + -1y2)(4x + -1y) = 0 Multiply (-1xy + 6x2 + -1y2) * (4x + -1y) (-1xy * (4x + -1y) + 6x2 * (4x + -1y) + -1y2 * (4x + -1y)) = 0 ((4x * -1xy + -1y * -1xy) + 6x2 * (4x + -1y) + -1y2 * (4x + -1y)) = 0 Reorder the terms: ((1xy2 + -4x2y) + 6x2 * (4x + -1y) + -1y2 * (4x + -1y)) = 0 ((1xy2 + -4x2y) + 6x2 * (4x + -1y) + -1y2 * (4x + -1y)) = 0 (1xy2 + -4x2y + (4x * 6x2 + -1y * 6x2) + -1y2 * (4x + -1y)) = 0 Reorder the terms: (1xy2 + -4x2y + (-6x2y + 24x3) + -1y2 * (4x + -1y)) = 0 (1xy2 + -4x2y + (-6x2y + 24x3) + -1y2 * (4x + -1y)) = 0 (1xy2 + -4x2y + -6x2y + 24x3 + (4x * -1y2 + -1y * -1y2)) = 0 (1xy2 + -4x2y + -6x2y + 24x3 + (-4xy2 + 1y3)) = 0 Reorder the terms: (1xy2 + -4xy2 + -4x2y + -6x2y + 24x3 + 1y3) = 0 Combine like terms: 1xy2 + -4xy2 = -3xy2 (-3xy2 + -4x2y + -6x2y + 24x3 + 1y3) = 0 Combine like terms: -4x2y + -6x2y = -10x2y (-3xy2 + -10x2y + 24x3 + 1y3) = 0 Solving -3xy2 + -10x2y + 24x3 + 1y3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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